A contour integreal, using the following equation: 20x+ 2, a contour goes from (0,0), (5,0), (5,5), (0,5) and back to (0,0).

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A: ϕx , y , z=xyz+5. To Find: Surface integral of the normal component of gradϕ over x2+y2+z2=9.

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A: Introduction. To find the affine cipher which sends the plaintext to ciphertext we have to use the…

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A: V is a vector space and u and v are vectors in V.

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Q: Solve the given initial value problem using the method of Laplace transforms. 26, Osts 14, y" +2y…

A: Solution:  The  given differential  equation  is  y''+2y'+26y=g(t)………(1)…

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A: Consider the given: F=8x+15y+4z+yz ,13x+12y+2z+xz,3x+4y+22z+xy and the…

Q: (2) With strong wind sideways, F = -(√2/2,0, √2/2). What's the flux through the cone?

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A: F=2xzi^+5y2j^-z2k^ D: the region bounded by z=y, z=4-y, z=2-12x2, x=0, z=0

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A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Let Solve the differential equation using Laplace transforms. y(t) = t/16+5cos(4t)+95/64sin(4t) g(t)…

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Q: less than 10-4 by a. the Trapezoidal Rule. b. Simpson's Rule.

A: A Numerical Integration problem is given.

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Q: 5. Minimize C = -5x + y subject to z-y ≤-2, 3r+y≤ 3, x, y 20. Using 4, find the minimized one.

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Q: 8. Answer (a)-(c) for f(x) = sin(x/4), −π<x< . Use the Fourier coefficients to obtain an explicit…

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Q: Problem 5. The dual norm of || || on R" is defined as ||x||* = = sup {x¹y | ||y|| ≤ 1, y = R¹}.…

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Q: 1. The program max x1 + 2x₂ subject to 2x1 + x2 x1 + 2x₂ 0. has X* = (1, 1) as an optimal solution…

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A: r=secθ-2cosθ, -π2&lt;θ&lt;π2

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Q: Consider the initial value problem y" + 25y = cos(5t), y(0) = 6, y'(0) = 2. - a. Take the Laplace…

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Q: #5. Prove that the fiz) = { is entive. function of defined by (e²-1-2)/2² 12/2 when z to when z=0

A: We have checked whether it is analytic at 0

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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